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Finding the Fourth Proportional to 128.43, 192.44 and 99.61

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Solution

The fourth proportional to 128.43, 192.44 and 99.61 is: 149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.43 : 192.44 = 99.61 : x
  2. Step 2: Convert to fraction form
    128.43/192.44 = 99.61/x
  3. Step 3: Cross multiply
    128.43x = 192.44 × 99.61
  4. Step 4: Simplify right side
    128.43x = 19,167.49
  5. Step 5: Solve for x
    x = 19,167.49/128.43
  6. Step 6: Final answer
    x = 149.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.